Respuesta :

Answer:

[tex]\frac{\sqrt{110} }{11}[/tex] or [tex]\frac{\sqrt{10} }{\sqrt{11} }[/tex]

Step-by-step explanation:

I assume you mean [tex]\frac{9\sqrt{10} }{9\sqrt{11} }[/tex]

there is a common factor of 9 in the numerator and denominator so we can cancel out to form [tex]\frac{\sqrt{10} }{\sqrt{11} }[/tex]

[tex]\frac{\sqrt{10} }{\sqrt{11} }[/tex] is technically a correct answer, but I will go ahead to rationalize the denominator

multiply [tex]\frac{\sqrt{10} }{\sqrt{11} }[/tex] by some form of 1. this case, we will use [tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] as our 1.

[tex]\frac{\sqrt{10} }{\sqrt{11} }[/tex]*[tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] = [tex]\frac{\sqrt{10} *\sqrt{11} }{\sqrt{11} *\sqrt{11} }[/tex] = [tex]\frac{\sqrt{110} }{11}[/tex]

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